Fuzzy Set Theory And Advanced Mathematical Applications

Author : Da Ruan
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461523574

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Fuzzy Set Theory and Advanced Mathematical Applications by Da Ruan Pdf

Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject. Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 40,7 Mb
Release : 2011-06-27
Category : Mathematics
ISBN : 9789401006460

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Fuzzy Set Theory—and Its Applications by Hans-Jürgen Zimmermann Pdf

This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.

Author : H. J. Zimmerman
Publisher : Allied Publishers
Page : 430 pages
File Size : 42,9 Mb
Release : 1996
Category : Fuzzy sets
ISBN : 8170235251

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Fuzzy Set Theory and Its Applications by H. J. Zimmerman Pdf

Author : Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager
Publisher : North-Holland
Page : 772 pages
File Size : 40,6 Mb
Release : 1979
Category : Mathematics
ISBN : MINN:319510009994689

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Advances in Fuzzy Set Theory and Applications by Madan M. Gupta,Rammohan K. Ragade,Ronald R. Yager Pdf

Author : George J. Klir,Ute H. St. Clair,Bo Yuan
Publisher : Unknown
Page : 264 pages
File Size : 52,9 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015041012140

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Fuzzy Set Theory by George J. Klir,Ute H. St. Clair,Bo Yuan Pdf

Fuzzy Set Theory: Foundations and Applications serves as a simple introduction to basic elements of fuzzy set theory. The emphasis is on a conceptual rather than a theoretical presentation of the material. Fuzzy Set Theory also contains an overview of the corresponding elements of classical set theory - including basic ideas of classical relations - as well as an overview of classical logic. Because the inclusion of background material in these classical foundations provides a self-contained course of study, students from many different academic backgrounds will have access to this important new theory.

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9789401579490

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Fuzzy Set Theory — and Its Applications by Hans-Jürgen Zimmermann Pdf

Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

Author : Rahul Kar,Dac-Nhuong Le,Gunjan Mukherjee,Biswadip Basu Mallik,Ashok Kumar Shaw
Publisher : John Wiley & Sons
Page : 265 pages
File Size : 52,8 Mb
Release : 2023-09-15
Category : Mathematics
ISBN : 9781394175116

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Fuzzy Logic Applications in Computer Science and Mathematics by Rahul Kar,Dac-Nhuong Le,Gunjan Mukherjee,Biswadip Basu Mallik,Ashok Kumar Shaw Pdf

FUZZY LOGIC APPLICATIONS IN COMPUTER SCIENCE AND MATHEMATICSTICS The prime objective of developing this book is to provide meticulous details about the basic and advanced concepts of fuzzy logic and its all-around applications to different fields of mathematics and engineering. The basic steps of fuzzy inference systems starting from the core foundation of the fuzzy concepts are presented in this book. The fuzzy theory is a mathematical concept and, at the same time, it is applied to many versatile engineering fields and research domains related to computer science. The fuzzy system offers some knowledge about uncertainty and is also related to the theory of probability. A fuzzy logic-based model acts as the classifier for many different types of data belonging to several classes. Covered in this book are topics such as the fundamental concepts of mathematics, fuzzy logic concepts, probability and possibility theories, and evolutionary computing to some extent. The combined fields of neural network and fuzzy domain (known as the neuro-fuzzy system) are explained and elaborated. Each chapter has been produced in a very lucid manner, with grading from simple to complex to accommodate the anticipated different audiences. The application-oriented approach is the unique feature of this book. Audience This book will be read and used by a broad audience including applied mathematicians, computer scientists, and industry engineers.

Author : Michael Gr. Voskoglou
Publisher : MDPI
Page : 366 pages
File Size : 52,9 Mb
Release : 2020-03-25
Category : Mathematics
ISBN : 9783039285204

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Fuzzy Sets, Fuzzy Logic and Their Applications by Michael Gr. Voskoglou Pdf

The present book contains 20 articles collected from amongst the 53 total submitted manuscripts for the Special Issue “Fuzzy Sets, Fuzzy Loigic and Their Applications” of the MDPI journal Mathematics. The articles, which appear in the book in the series in which they were accepted, published in Volumes 7 (2019) and 8 (2020) of the journal, cover a wide range of topics connected to the theory and applications of fuzzy systems and their extensions and generalizations. This range includes, among others, management of the uncertainty in a fuzzy environment; fuzzy assessment methods of human-machine performance; fuzzy graphs; fuzzy topological and convergence spaces; bipolar fuzzy relations; type-2 fuzzy; and intuitionistic, interval-valued, complex, picture, and Pythagorean fuzzy sets, soft sets and algebras, etc. The applications presented are oriented to finance, fuzzy analytic hierarchy, green supply chain industries, smart health practice, and hotel selection. This wide range of topics makes the book interesting for all those working in the wider area of Fuzzy sets and systems and of fuzzy logic and for those who have the proper mathematical background who wish to become familiar with recent advances in fuzzy mathematics, which has entered to almost all sectors of human life and activity.

Author : George J. Klir,Bo Yuan
Publisher : Prentice Hall
Page : 600 pages
File Size : 42,5 Mb
Release : 1995
Category : Computers
ISBN : UOM:39015034424906

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Fuzzy Sets and Fuzzy Logic by George J. Klir,Bo Yuan Pdf

No previous knowledge of fuzzy set theory and fuzzy logic is required for understanding the material covered in the book. Although knowledge of basic ideas of classical (nonfuzzy) set theory and classical (two-valued) logic is useful, fundamentals of these subject areas are briefly overviewed in the book. In addition, basic ideas of neural networks, genetic algorithms, and rough sets are also explained. This makes the book virtually self-contained.

Author : R. Lowen
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401587419

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Fuzzy Set Theory by R. Lowen Pdf

The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality". To write a book which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope.

Author : André Jones,Arnold Kaufmann,Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400946828

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Fuzzy Sets Theory and Applications by André Jones,Arnold Kaufmann,Hans-Jürgen Zimmermann Pdf

Problems in decision making and in other areas such as pattern recogni tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as uncertain data are concerned, we have neither instru ments nor reasoning at our disposal as well defined and unquestionable as those used in the probability theory. This almost infallible do main is the result of a tremendous work by the whole scientific world. But when measures are dubious, bad or no longer possible and when we really have to make use of the richness of human reasoning in its variety, then the theories dealing with the treatment of uncertainty, some quite new and other ones older, provide the required complement, and fill in the gap left in the field of knowledge representation. Nowadays, various theories are widely used: fuzzy sets, belief function, the convenient associations between probability and fuzzines~ etc ••• We are more and more in need of a wide range of instruments and theories to build models that are more and more adapted to the most complex systems.

Author : P.P. Wang
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461337546

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Advances in Fuzzy Sets, Possibility Theory, and Applications by P.P. Wang Pdf

Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.

Author : Lotfi Asker Zadeh,George J. Klir,Bo Yuan
Publisher : World Scientific
Page : 848 pages
File Size : 40,7 Mb
Release : 1996
Category : Computers
ISBN : 9810224214

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Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems by Lotfi Asker Zadeh,George J. Klir,Bo Yuan Pdf

This book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words ? a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index.

Author : George Bojadziev,Maria Bojadziev
Publisher : World Scientific
Page : 304 pages
File Size : 40,6 Mb
Release : 1995
Category : Mathematics
ISBN : 9810226063

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Fuzzy Sets, Fuzzy Logic, Applications by George Bojadziev,Maria Bojadziev Pdf

Fuzzy sets and fuzzy logic are powerful mathematical tools for modeling and controlling uncertain systems in industry, humanity, and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics.The unique feature of the book is twofold: 1) It is the first introductory course (with examples and exercises) which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. 2) It is designed to serve as a basic text for introducing engineers and scientists from various fields to the theory of fuzzy sets and fuzzy logic, thus enabling them to initiate projects and make applications.

Author : Apostolos Syropoulos,Theophanes Grammenos
Publisher : John Wiley & Sons
Page : 382 pages
File Size : 42,9 Mb
Release : 2020-07-28
Category : Technology & Engineering
ISBN : 9781119445289

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A Modern Introduction to Fuzzy Mathematics by Apostolos Syropoulos,Theophanes Grammenos Pdf

Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.